CN111735728B - Method and device for identifying mechanical property of vibration damping coating - Google Patents
Method and device for identifying mechanical property of vibration damping coating Download PDFInfo
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Abstract
The invention relates to a method and a device for identifying the mechanical property of a vibration damping coating, wherein the vibration damping coating is coated on the inner spherical surface of an outer ring of a joint bearing, and the method comprises the following steps: acquiring the attribute of a composite structure formed by the vibration damping coating and the inner spherical surface of the outer ring of the joint bearing; acquiring a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation; constructing a function expression of the relation between the mechanical property parameters of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth; and substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating. The method has the advantages that finite element simulation and nano indentation test can be carried out on the composite structure of the vibration damping coating and the spherical surface in the outer ring of the knuckle bearing, the matrix effect of the spherical surface in the outer ring is eliminated, the mechanical property parameters of the vibration damping coating are identified, the operation is simple, and the accuracy is high.
Description
Technical Field
The disclosure relates to the technical field of material mechanics, in particular to a method and a device for identifying the mechanical property of a vibration damping coating.
Background
The spherical plain bearing is a spherical plain bearing, and the sliding contact surface of the spherical plain bearing comprises an inner spherical surface and an outer spherical surface, and can rotate and swing at any angle during movement, and is usually used for swinging movement with low speed and low-speed rotation, or tilting movement within a certain angle range. Therefore, the joint bearing is widely applied to mechanical equipment, aerospace, transportation and energy power, particularly in the fields of aircraft landing gear, aircraft and engine motion adjusting mechanisms, industrial robots and the like. With the continuous popularization of the application of the joint bearing, the vibration reduction requirement of the joint bearing in various industries is higher and higher, and the method for reducing the vibration of the bearing which is commonly used at present is to coat a vibration reduction coating on the contact surface of an inner ring or an outer ring of the joint bearing. The vibration reduction principle of the vibration reduction coating is that alloy, ceramic and composite materials thereof with high damping characteristics are coated on the surface of a metal matrix, and the vibration reduction of the joint bearing is realized by means of energy consumption of the vibration reduction coating in the vibration process. Therefore, accurately identifying the mechanical property parameters of the vibration damping coating, such as the elastic modulus, the damping coefficient and the like, is important for obtaining the vibration damping effect, optimally designing the structure of the joint bearing and reducing the vibration noise. Because the damping coating is thin and has high brittleness, the composite structure of the base body and the coating can only be tested, and the difference in size and mechanical property exists between the damping coating and a ring raceway (namely the base body) of the joint bearing, so that the error of a test result can reach more than 15 percent, and the test accuracy is low. In view of the above situation, in the prior art, a method is provided for performing three-point bending test on a matrix + coating composite structure and a matrix respectively and then performing function fitting on the obtained load-displacement, so that the influence of the matrix on a vibration damping coating can be eliminated, and mechanical performance parameters of the vibration damping coating can be obtained. However, the above method requires separate testing of the substrate + coating composite structure and the substrate, and the operation steps are complicated.
Disclosure of Invention
In order to overcome the problems in the related art, the present disclosure provides a method and an apparatus for identifying the mechanical properties of a vibration damping coating.
According to a first aspect of the embodiments of the present disclosure, there is provided a method for identifying mechanical properties of a vibration damping coating, where the vibration damping coating is coated on an inner spherical surface of an outer ring of a joint bearing, the method including:
acquiring the attribute of a composite structure formed by the vibration damping coating and the outer ring inner spherical surface of the joint bearing;
acquiring a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation so as to construct a function expression of the relation between the mechanical property parameter of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth;
and substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating.
Optionally, the mechanical property parameters include: the modulus of elasticity of the vibration damping coating; the obtaining of the simulated loading curve index and the simulated maximum indentation depth for representing the composite structure through finite element simulation to construct a functional expression of the relationship between the mechanical property parameter of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth comprises the following steps:
establishing a fitting function for representing the relation among the simulated loading curve index, the simulated maximum indentation depth and the elastic modulus;
when the elastic modulus is different values, respectively acquiring the maximum indentation depths corresponding to the elastic modulus values through finite element simulation;
and determining coefficients of the fitting function through the elastic modulus of more than or equal to two groups and the corresponding maximum indentation depth to obtain a function expression of the fitting function.
Optionally, the establishing a fitting function for representing a relationship among the simulated loading curve index, the simulated maximum indentation depth, and the elastic modulus includes:
fitting the simulated loading curve index and the elastic modulus by a quadratic polynomial:
wherein x is a loading curve index, E S Is the modulus of elasticity of the inner spherical surface of the outer race, E C The A, B and C are coefficients of the fitting function, which is the elastic modulus of the damping coating;
fitting the maximum indentation depth to the coefficient by a quadratic polynomial:
A＝a 1 (h m /h c ) 2 +a 2 (h m /h c )+a 3 ，
B＝a 4 (h m /h c ) 2 +a 5 (h m /h c )+a 6 ，
C＝a 7 (h m /h c ) 2 +a 8 (h m /h c )+a 9 ，
wherein, h is m At said maximum indentation depth, said h c Is the thickness of the vibration damping coating layer, said a 1 、a 2 、a 2 、a 3 、a 4 、a 5 、a 6 、a 7 、a 8 、a 9 Are coefficients of the fitting function;
determining a fit function between the simulated loading curve index, simulated maximum indentation depth, and the modulus of elasticity:
x＝(a 1 v 2 +a 2 v+a 3 )u 2 +(a 4 v 2 +a 5 v+a 6 )u+a 7 v 2 +a 8 v+a 9 ，
wherein, E c /E S ＝u，h m /h c ＝v。
Optionally, when the elastic modulus is different values, obtaining the maximum indentation depths corresponding to the elastic modulus through finite element simulation respectively includes:
establishing a finite element model of the composite structure;
and when the elastic modulus is different values, respectively acquiring the maximum indentation depths corresponding to the elastic modulus values by carrying out finite element simulation of a nano indentation test on the finite element model.
Optionally, the step of substituting the test loading curve index of the composite structure obtained through the nanoindentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameter of the vibration damping coating includes:
obtaining an indentation loading curve of the composite structure through at least one nano indentation test to determine a test loading curve index and a test maximum indentation depth;
obtaining the thickness of the coating of the vibration damping coating and the elastic modulus of the inner spherical surface of the outer ring;
substituting the coating thickness, the elastic modulus of the inner spherical surface of the outer ring, the test loading curve index and the test maximum indentation depth into the function expression instead of the simulated loading curve index and the simulated maximum indentation depth;
and acquiring the elastic modulus of the vibration damping coating.
According to a second aspect of the embodiments of the present disclosure, there is provided a device for identifying mechanical properties of a vibration damping coating applied to an inner spherical surface of an outer ring of a spherical plain bearing, the device including:
the composite structure attribute acquisition module is connected with the functional relation determination module and is used for acquiring the attribute of a composite structure formed by the vibration damping coating and the outer ring inner spherical surface of the joint bearing;
the function relation determining module is connected with the mechanical property identifying module and used for acquiring a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation so as to construct a function expression of the relation between the mechanical property parameters of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth;
and the mechanical property identification module is used for substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating.
Optionally, the mechanical property parameters include: the modulus of elasticity of the vibration damping coating; the functional relationship determination module includes:
the fitting function creating unit is connected with the composite structure attribute acquisition module and the maximum indentation depth acquisition unit and is used for creating a fitting function for expressing the relation among the simulated loading curve index, the simulated maximum indentation depth and the elastic modulus;
the maximum indentation depth acquisition unit is connected with the fitting function expression acquisition unit and respectively acquires maximum indentation depths corresponding to the elastic modulus through finite element simulation when the elastic modulus is different values;
and the fitting function expression obtaining unit is connected with the mechanical property identification module and used for determining coefficients in the fitting function through more than or equal to two groups of elastic modulus and corresponding maximum indentation depth so as to obtain a function expression of the fitting function.
Optionally, the fitting function creating unit is configured to:
fitting the simulated loading curve index and the elastic modulus by a quadratic polynomial:
wherein x is a loading curve index, E S Is the modulus of elasticity of the inner spherical surface of the outer race, E C The A, B and C are coefficients of the fitting function, which is the elastic modulus of the damping coating;
fitting the maximum indentation depth to the coefficients by a quadratic polynomial:
A＝a 1 (h m /h c ) 2 +a 2 (h m /h c )+a 3 ，
B＝a 4 (h m /h c ) 2 +a 5 (h m /h c )+a 6 ，
C＝a 7 (h m /h c ) 2 +a 8 (h m /h c )+a 9 ，
wherein, the h m At said maximum indentation depth, said h c Is the thickness of the damping coating, said a 1 、a 2 、a 2 、a 3 、a 4 、a 5 、a 6 、a 7 、a 8 、a 9 Are coefficients of the fitting function;
determining a fit function between the simulated loading curve index, simulated maximum indentation depth, and the modulus of elasticity:
x＝(a 1 v 2 +a 2 v+a 3 )u 2 +(a 4 v 2 +a 5 v+a 6 )u+a 7 v 2 +a 8 v+a 9 ，
wherein E is c /E S ＝u，h m /h c ＝v。
Optionally, the maximum indentation depth obtaining unit is configured to:
establishing a finite element model of the composite structure;
and when the elastic modulus is different values, respectively acquiring the maximum indentation depths corresponding to the elastic modulus values by carrying out finite element simulation of a nano indentation test on the finite element model.
Optionally, the mechanical property determination and identification module is configured to:
obtaining an indentation loading curve of the composite structure through at least one nano indentation test to determine the test loading curve index and the test maximum indentation depth;
obtaining the thickness of the coating of the vibration damping coating and the elastic modulus of the inner spherical surface of the outer ring;
substituting the coating thickness, the elastic modulus of the inner spherical surface of the outer ring, the test loading curve index and the test maximum indentation depth into the function expression instead of the simulated loading curve index and the simulated maximum indentation depth;
and acquiring the elastic modulus of the vibration damping coating.
In summary, the present invention provides a method and an apparatus for identifying mechanical properties of a vibration damping coating, where the vibration damping coating is coated on an inner spherical surface of an outer ring of a joint bearing, and the method includes: acquiring the attribute of a composite structure formed by the vibration damping coating and the inner spherical surface of the outer ring of the joint bearing; acquiring a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation; constructing a function expression of the relation between the mechanical property parameters of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth; and substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating. The composite structure of the vibration damping coating and the inner spherical surface of the outer ring of the knuckle bearing can be subjected to finite element simulation and nano indentation test, the matrix effect of the inner spherical surface of the outer ring is eliminated, the mechanical property parameters of the vibration damping coating are identified, the operation steps are simple, and the identification accuracy is high.
Additional features and advantages of the disclosure will be set forth in the detailed description which follows.
Drawings
The accompanying drawings, which are included to provide a further understanding of the disclosure and are incorporated in and constitute a part of this specification, illustrate embodiments of the disclosure and together with the description serve to explain the disclosure without limiting the disclosure. In the drawings:
FIG. 1 is a flow diagram illustrating a method for damping coating mechanical property identification in accordance with an exemplary embodiment;
FIG. 2 is a schematic illustrating the location of a damping coating applied to a spherical plain bearing according to an exemplary embodiment;
FIG. 3 is a flow chart of a method of functional relationship determination according to the one shown in FIG. 1;
FIG. 4 is a schematic diagram illustrating a finite element model according to an exemplary embodiment;
FIG. 5 is a flow chart of a method of identifying mechanical properties according to the method shown in FIG. 1;
FIG. 6 is a block diagram illustrating a vibration damping coating mechanical property identification device in accordance with an exemplary embodiment;
FIG. 7 is a block diagram of a functional relationship determination module according to the one shown in FIG. 6.
Detailed Description
The following detailed description of specific embodiments of the present disclosure is provided in connection with the accompanying drawings. It should be understood that the detailed description and specific examples, while indicating the present disclosure, are given by way of illustration and explanation only, not limitation.
Fig. 1 is a flow chart illustrating a method for identifying mechanical properties of a damping coating applied to an inner spherical surface of an outer race of a spherical plain bearing, as shown in fig. 1, according to an exemplary embodiment, the method including the steps of:
in step 101, the properties of the composite structure formed by the vibration damping coating and the outer ring inner spherical surface of the spherical plain bearing are acquired.
For example, in order to reduce the vibration of the joint bearing, a NiCrAlY vibration damping coating having a certain porosity is generally prepared by an electron beam physical vapor deposition technique, and as shown in fig. 2, the vibration damping coating is applied to an inner spherical surface of an outer ring (i.e., a region between the outer ring and an inner ring) of the joint bearing, and then a self-lubricating liner woven from a polytetrafluoroethylene material is attached to the vibration damping coating. In the method for identifying the mechanical property in the embodiment, before the self-lubricating liner is attached, the mechanical property of the vibration damping coating is measured in a mode of combining a finite element simulation technology and a nano indentation test. Meanwhile, the vibration damping coating has the characteristics of thin thickness, high brittleness and the like, the difficulty of independently testing the vibration damping coating is high, and a mode of testing a composite structure formed by the vibration damping coating and the inner spherical surface of the outer ring of the knuckle bearing is generally adopted, so that the attribute of the composite structure formed by the vibration damping coating and the inner spherical surface of the outer ring needs to be obtained firstly, the influence (namely matrix effect) of the inner spherical surface of the outer ring in the testing process is eliminated, and the accurate mechanical property of the vibration damping coating is obtained.
The thickness of the vibration reduction coating applied to the inner spherical surface of the outer ring of the joint bearing is usually 20-70 μm, so that the vibration reduction coating has high damping characteristic and vibration reduction effect is enhanced, meanwhile, the thickness of the vibration reduction coating is set within the range, interlayer bonding force between the vibration reduction coating and the self-lubricating substrate and between the vibration reduction coating and the inner spherical surface of the outer ring can be enhanced, and the vibration reduction coating with the thickness larger than 70 μm is easy to fall off.
In step 102, a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure are obtained through finite element simulation, so as to construct a functional expression of the relation between the mechanical property parameters of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth.
Illustratively, the process of pressing the indenter into the composite structure (i.e., the simulated nanoindentation test) is simulated by a finite element simulation technique, and a simulated indentation loading curve of the composite structure is obtained during the simulation process to determine a simulated loading curve index and a simulated maximum indentation depth in the simulated indentation loading curve. The simulated loading curve index can represent the matrix effect of the outer ring inner ball surface on the vibration damping coating, so that a function expression of the relation among the mechanical property parameters of the vibration damping coating, the simulated loading curve index and the simulated maximum indentation depth can be constructed through simulating an indentation loading curve, and the mechanical property parameters of the vibration damping coating can be determined.
In step 103, the test loading curve index of the composite structure obtained through the nanoindentation test and the test maximum indentation depth are substituted into the function expression, so as to obtain the mechanical property parameters of the vibration damping coating.
In an example, after the simulation loading curve index, the simulation maximum indentation depth and the functional expression between the mechanical property parameters of the vibration damping coating are obtained in the step 102, the composite structure is subjected to a nano indentation test, and a test indentation loading curve of the composite structure is obtained in the nano indentation test process, so that the test loading curve index and the test maximum indentation depth of the test indentation loading curve are determined. And substituting the test loading curve index and the test maximum indentation depth into the function expression determined in the step 102 to determine the mechanical property parameters of the vibration damping coating.
In summary, the method for identifying the mechanical property of the vibration damping coating provided by the invention is characterized in that the vibration damping coating is coated on the inner spherical surface of the outer ring of the joint bearing, and comprises the following steps: acquiring the attribute of a composite structure formed by the vibration damping coating and the inner spherical surface of the outer ring of the joint bearing; acquiring a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation; constructing a function expression of the relation between the mechanical property parameters of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth; and substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating. The method has the advantages that finite element simulation and nano indentation test can be carried out on the composite structure of the vibration damping coating and the inner spherical surface of the outer ring of the knuckle bearing, the matrix effect of the inner spherical surface of the outer ring is eliminated, the mechanical property parameters of the vibration damping coating are identified, the operation steps are simple, and the identification accuracy is high.
Fig. 3 is a flow chart of a functional relationship determination method according to fig. 1, as shown in fig. 3, the step 102 comprising:
in step 1021, a fitting function representing a relationship between the simulated loading curve index, the simulated maximum indentation depth, and the modulus of elasticity is established.
Illustratively, mechanical properties refer to the mechanical characteristics, such as modulus of elasticity, damping coefficient, yield stress, etc., exhibited by a material when subjected to various applied loads (e.g., tensile, compressive, bending, torsional, impact, alternating stress, etc.) under different environments (e.g., temperature, medium, humidity, etc.). In the embodiment of the disclosure, the elastic modulus is taken as an example, and the explanation is provided for how to eliminate the matrix effect of the outer ring inner ball surface of the joint bearing on the vibration damping coating and accurately identify the elastic modulus of the vibration damping coating.
Illustratively, the indentation loading curve is represented by equation (1):
F＝F max (h/h m ) x (1)，
wherein F is loading force, h is indentation depth, h m Maximum indentation depth, F max For maximum loading force, x is the loading curve index.
The numerical value of the loading curve index x is related to the matrix effect of the outer ring inner ball surface on the damping coating, and the maximum indentation depth h can be known through the formula (1) m The index x of the loading curve and the matrix effect have a certain functional relationship, and the matrix effect and the elastic modulus E of the damping coating c And the modulus of elasticity E of the inner spherical surface of the outer race S There is a relationship between them.
Therefore, the formula (1) is dimensionless to obtain the formula (2):
wherein, E s Is the elastic modulus of the inner spherical surface of the outer ring, h c Is the coating thickness.
As can be seen from the above formula (2) after dimensionless, the maximum indentation depth h m Index of the loading curve x and modulus of elasticity E of the vibration damping coating c Has a certain functional relation between the two, and the maximum indentation depth h is determined by establishing a quadratic polynomial m Loading curve index x and modulus of elasticity E of the damping coating c Fitting the functional relationship between the two, wherein the specific process comprises the following steps:
the loading curve index x and the modulus of elasticity E of the vibration damping coating are plotted by a quadratic polynomial (3) c The relationship between them was fitted:
wherein A, B and C are coefficients of the fitting function.
To obtain specific values of coefficients in the fitting function, a function expression is obtained, andrespectively carrying out quadratic polynomial (4) to (6) on the maximum indentation depth h m Fitting with the relationship between a, B and C:
A＝a 1 (h m /h c ) 2 +a 2 (h m /h c )+a 3 (4)，
B＝a 4 (h m /h c ) 2 +a 5 (h m /h c )+a 6 (5)，
C＝a 7 (h m /h c ) 2 +a 8 (h m /h c )+a 9 (6)，
wherein, a 1 、a 2 、a 2 、a 3 、a 4 、a5、a 6 、a 7 、a 8 、a 9 All coefficients are coefficients in the fitting functions (4) to (6).
Let E c /E S ＝u，h m /h c = v, the above equations (3) to (6) are collated to obtain equation (7):
x＝(a 1 v 2 +a 2 v+a 3 )u 2 +(a 4 v 2 +a 5 v+a 6 )u+a 7 v 2 +a 8 v+a 9 (7)，
thus, through the following steps 1022 to 1023, a plurality of sets of numerical values of the simulated maximum indentation depth, the modulus of elasticity of the simulated vibration damping coating and the simulated loading curve index are obtained in the finite element simulation process, and the numerical values of the coefficients can be obtained by replacing the plurality of sets of numerical values in the formula (7), so that a functional expression of the relationship between the mechanical property parameter of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth is obtained.
In step 1022, when the elastic modulus is different, maximum indentation depths corresponding to the values of the elastic modulus are respectively obtained through finite element simulation.
For example, as shown in fig. 4, a finite element model formed by the vibration damping coating and the outer ring inner spherical surface (matrix) is first established, in the embodiment of the present disclosure, a rigid pressure head is selected, a dense grid is adopted near the pressure head, a sparse grid is selected in a region far away from the pressure head, the degree of freedom of the lower surface node of the outer ring of the joint bearing is constrained, and binding constraints are adopted for the lower boundary of the vibration damping coating and the upper boundary of the outer ring inner spherical surface of the joint bearing, so that a downward displacement load is applied to a reference point on the pressure head, and the process of pressing the pressure head into the composite structure is simulated. After establishing a finite element model, when the elastic modulus of the vibration damping coating is different values, carrying out finite element simulation of a nano indentation test on the finite element model, and respectively obtaining the maximum indentation depths corresponding to the elastic modulus values.
In an exemplary embodiment of the present disclosure, E c /E S Are set to 0.3,0.5,0.7,1,1.2,1.5, respectively, h m /h c The values of (a) are set to 0.05,0.1,0.15,0.2, respectively. When the nano indentation test is simulated, the setting time of the loading process is 5s, the loading process is uniformly carried out by 50 loading steps, and each loading step records the corresponding pressure head displacement and the reaction force acting on the pressure head. At h m /h c Taking different values, carrying out the simulation of the nanoindentation test on the finite element model of the composite structure, respectively at E c /E S When the numerical value of (a) is 0.3,0.5,0.7,1,1.2,1.5, a downward displacement load is applied to a reference point on the indenter, a simulated indentation loading curve is drawn, and the simulated indentation loading curve is converted into a dimensionless form as shown in formula (2) to obtain the plurality of groups h m /h c And E c /E S Corresponding loading curve index x.
In step 1023, coefficients of the fitting function are determined by the elastic modulus and the corresponding maximum indentation depth of two or more sets to obtain a functional expression of the fitting function.
Illustratively, according to step 1022 described above, when E c /E S Are set to values of 0.3,0.5,0.7,1,1.2,1.5, h, respectively m /h c When the values are respectively set to 0.05,0.1,0.15 and 0.2 and the values of the indentation loading curves respectively correspond to, the coefficient a is determined by fitting 1 ～a 9 The values of (A) are respectively: 2.225,0.02717,0.004733, -4.147, -1.117, -0.005958,3.9,0.351,2.088. Thus, a functional expression of the fitting function may be determined.
Fig. 5 is a flow chart of a mechanical property identification method according to fig. 1, and as shown in fig. 5, the step 103 includes:
in step 1031, an indentation loading curve of the composite structure is obtained by at least one nanoindentation test to determine the test loading curve index and the test maximum indentation depth.
For example, the surface condition of the vibration damping coating, and in particular the surface roughness of the vibration damping coating, has a great influence on the accuracy of the nanoindentation test measurement. Therefore, in order to ensure that the measurement error of the maximum indentation depth of the test is less than 5 percent, the surface roughness of the damping coating is enabled to meet R when the nano indentation test is carried out a H/20 (h is indentation depth). In the nanoindentation test, a CSM nanoscription Tester, switzerland was used. The specific process comprises the following steps: randomly selecting 5 measuring points on a test piece (namely the composite structure) for testing, continuously recording the changes of loading force and pressure head displacement in the testing process, drawing a test indentation loading curve of the 5 measuring points, carrying out average treatment on the 5 results, and determining the test loading curve index and the test maximum indentation depth after the average treatment.
In step 1032, the coating thickness of the damping coating and the elastic modulus of the inner spherical surface of the outer race are obtained.
In an example, the test indentation loading curve in step 1031 is fitted to obtain the coating thickness of the vibration damping coating and the elastic modulus of the inner spherical surface of the outer ring. In an exemplary embodiment of the present disclosure, a test indentation loading curve of 5 measuring points is drawn, and after the 5 times of results are subjected to average processing, function fitting is performed to determine that the thickness of the vibration damping coating in the test indentation loading curve after the average processing is 20 μm, and the elastic modulus of the inner spherical surface of the outer ring is 193GPa.
In step 1033, the coating thickness, the elastic modulus of the inner spherical surface of the outer race, the test loading curve index, and the test maximum indentation depth are substituted into the function expression instead of the simulated loading curve index and the simulated maximum indentation depth.
Illustratively, as shown in step 1032 above, in an exemplary embodiment of the present disclosure, the results of 5 nanoindentation tests are averaged, the value of the test loading curve index after the averaging process is determined to be 2.076, the value of the test maximum indentation depth is 256.3nm, and the maximum loading force is 20.02mN, and then the thickness of the damping coating determined in step 1032 above is 20 μm, and the elastic modulus of the inner spherical surface of the outer ring is 193GPa is substituted into the functional expression, so that the elastic modulus of the damping coating is 168.44GPa.
In step 1034, the modulus of elasticity of the vibration damping coating is obtained.
In addition, after the elastic modulus of the vibration damping coating is obtained, the value of the elastic modulus is substituted into a finite element model of a composite structure formed by the vibration damping coating and the outer ring inner spherical surface through a natural frequency testing method, the calculation result of the finite element model is compared with the natural frequency testing result, and the accuracy of the elastic modulus value of the vibration damping coating obtained through identification is verified. The verification results are shown in table 1 below:
TABLE 1
| Order of the order | 1 | 2 | 3 |
| Experimental test/Hz | 87.75 | 227.75 | 538.00 |
| Finite element calculation/Hz | 87.45 | 230.17 | 539.80 |
| Rate of difference/%) | 0.34 | 1.06 | 0.33 |
As can be seen from Table 1, the maximum error between the first 3-order natural frequency value and the measured value of the composite structure finite element model composed of the vibration damping coating and the outer ring inner spherical surface, which is calculated by the vibration damping coating elastic modulus value obtained by identification of the invention, is 1.06%, and the maximum error between the bending mode natural frequency is 0.34%, so that the validity and the accuracy of the vibration coating mechanical property parameter identification method provided in the implementation of the disclosure are verified.
In summary, the method for identifying the mechanical property of the vibration damping coating provided by the invention is characterized in that the vibration damping coating is coated on the inner spherical surface of the outer ring of the joint bearing, and comprises the following steps: acquiring the attribute of a composite structure formed by the vibration damping coating and the inner spherical surface of the outer ring of the joint bearing; acquiring a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation; constructing a function expression of the relation between the mechanical property parameters of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth; and substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating. The composite structure of the vibration damping coating and the inner spherical surface of the outer ring of the knuckle bearing can be subjected to finite element simulation and nano indentation test, the matrix effect of the inner spherical surface of the outer ring is eliminated, the mechanical property parameters of the vibration damping coating are identified, the operation steps are simple, and the identification accuracy is high.
Fig. 6 is a block diagram illustrating a damping coating mechanical property recognition apparatus according to an exemplary embodiment, where the damping coating is applied to an outer ring inner spherical surface of a joint bearing, as shown in fig. 6, and the damping coating mechanical property recognition apparatus 600 includes:
a composite structure attribute obtaining module 610, connected to the functional relationship determining module, for obtaining an attribute of a composite structure formed by the vibration damping coating and an outer ring inner spherical surface of the joint bearing;
a functional relationship determining module 620 connected to the mechanical property identifying module and configured to obtain a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation, so as to construct a functional expression of a relationship between the mechanical property parameter of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth;
and the mechanical property identification module 630 is used for substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating.
FIG. 7 is a block diagram of a functional relationship determination module according to FIG. 6, wherein the mechanical property parameters include, as shown in FIG. 7: the modulus of elasticity of the vibration damping coating; the functional relationship determining module 620 includes:
a fitting function creating unit 621, connected to the composite structure attribute obtaining module 610 and the maximum indentation depth obtaining unit 622, for creating a fitting function for representing a relationship among the simulated loading curve index, the simulated maximum indentation depth, and the elastic modulus;
a maximum indentation depth obtaining unit 622 connected to the fitting function expression obtaining unit 623, and obtaining maximum indentation depths corresponding to the elastic moduli through finite element simulation when the elastic moduli are different values, respectively;
and a fitting function expression obtaining unit 623 connected to the mechanical property identification module 630, configured to determine coefficients in the fitting function according to two sets of the elastic moduli and corresponding maximum indentation depths to obtain a function expression of the fitting function.
Optionally, the fitting function creating unit 621 is configured to:
fitting the simulated loading curve index to the elastic modulus by a quadratic polynomial:
wherein x is the loading curve index, E S Is the modulus of elasticity of the inner spherical surface of the outer race, E C The A, B and C are coefficients of the fitting function, which is the modulus of elasticity of the vibration damping coating;
fitting the maximum indentation depth to the coefficient by a quadratic polynomial:
A＝a 1 (h m /h c ) 2 +a 2 (h m /h c )+a 3 ，
B＝a 4 (h m /h c ) 2 +a 5 (h m /h c )+a 6 ，
C＝a 7 (h m /h c ) 2 +a 8 (h m /h c )+a 9 ，
wherein h is m Is the maximum indentation depth, h c Is the thickness of the damping coating, the 1 、a 2 、a 2 、a 3 、a 4 、a 5 、a 6 、a 7 、a 8 、a 9 Are the coefficients of the fitting function;
determining a fit function between the simulated loading curve index, the simulated maximum indentation depth, and the modulus of elasticity:
x＝(a 1 v 2 +a 2 v+a 3 )u 2 +(a 4 v 2 +a 5 v+a 6 )u+a 7 v 2 +a 8 v+a 9 ，
wherein E is c /E S ＝u，h m /h c ＝v。
Optionally, the maximum indentation depth acquiring unit 622 is configured to:
establishing a finite element model of the composite structure;
and when the elastic modulus is different values, respectively acquiring the maximum indentation depths corresponding to the elastic modulus values by carrying out finite element simulation of a nano indentation test on the finite element model.
Optionally, the mechanical property determination and identification module 630 is configured to:
obtaining an indentation loading curve of the composite structure through at least one nano indentation test to determine a test loading curve index and a test maximum indentation depth;
obtaining the thickness of the coating of the vibration damping coating and the elastic modulus of the inner spherical surface of the outer ring;
substituting the coating thickness, the elastic modulus of the inner spherical surface of the outer ring, the test loading curve index and the test maximum indentation depth into the function expression instead of the simulation loading curve index and the simulation maximum indentation depth;
the modulus of elasticity of the vibration damping coating was obtained.
In summary, the method and the device for identifying the mechanical property of the vibration damping coating provided by the invention are characterized in that the vibration damping coating is coated on the inner spherical surface of the outer ring of the knuckle bearing, and the method comprises the following steps: acquiring the attribute of a composite structure formed by the vibration damping coating and the inner spherical surface of the outer ring of the joint bearing; acquiring a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation; constructing a function expression of the relation between the mechanical property parameters of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth; and substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating. The method has the advantages that finite element simulation and nano indentation test can be carried out on the composite structure of the vibration damping coating and the inner spherical surface of the outer ring of the knuckle bearing, the matrix effect of the inner spherical surface of the outer ring is eliminated, the mechanical property parameters of the vibration damping coating are identified, the operation steps are simple, and the identification accuracy is high.
The preferred embodiments of the present disclosure are described in detail with reference to the accompanying drawings, however, the present disclosure is not limited to the specific details of the above embodiments, and various simple modifications may be made to the technical solution of the present disclosure within the technical idea of the present disclosure, and these simple modifications all belong to the protection scope of the present disclosure.
It should be noted that, in the above embodiments, the various features described in the above embodiments may be combined in any suitable manner, and in order to avoid unnecessary repetition, various possible combinations will not be further described in the present disclosure.
In addition, any combination of various embodiments of the present disclosure may be made, and the same should be considered as the disclosure of the present disclosure, as long as it does not depart from the spirit of the present disclosure.
Claims (10)
1. A method for identifying the mechanical property of a vibration damping coating is characterized in that the vibration damping coating is coated on the inner spherical surface of an outer ring of a joint bearing, and the method comprises the following steps:
obtaining the attribute of a composite structure formed by the vibration reduction coating and the outer ring inner spherical surface of the joint bearing;
obtaining a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation to construct a function expression of a relation between a mechanical property parameter of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth, wherein the function expression is obtained according to a fitting function for representing the relation among the simulated loading curve index, the simulated maximum indentation depth and the elastic modulus, and the fitting function is as follows:
wherein,
，/>
where x is the loading curve index, E S Is the modulus of elasticity of the inner spherical surface of the outer race, E C Is the modulus of elasticity of the vibration damping coating, h m At said maximum indentation depth, said h c Is the thickness of the vibration damping coating layer, said 1 、a 2 、a 3 、a 4 、a 5 、a 6 、a 7 、a 8 、a 9 Are coefficients of the fitting function;
and substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating.
2. The method for identifying the mechanical property of the vibration damping coating according to claim 1, wherein the mechanical property parameters comprise: the modulus of elasticity of the vibration damping coating; the obtaining of the simulated loading curve index and the simulated maximum indentation depth for representing the composite structure through finite element simulation to construct a functional expression of the relationship between the mechanical property parameter of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth comprises the following steps:
establishing a fitting function for representing the relation among the simulated loading curve index, the simulated maximum indentation depth and the elastic modulus;
when the elastic modulus is different values, respectively acquiring the maximum indentation depths corresponding to the elastic modulus values through finite element simulation;
and determining coefficients of the fitting function through the elastic modulus of more than or equal to two groups and the corresponding maximum indentation depth to obtain a function expression of the fitting function.
3. The method for identifying mechanical properties of vibration damping coating according to claim 2, wherein the establishing a fitting function for representing the relationship among the simulated loading curve index, the simulated maximum indentation depth and the elastic modulus comprises:
fitting the simulated loading curve index and the elastic modulus by a quadratic polynomial:
wherein x is a loading curve index, E S Is the modulus of elasticity of the inner spherical surface of the outer race, E C The A, B and C are coefficients of the fitting function, which is the elastic modulus of the damping coating;
fitting the maximum indentation depth to the coefficients by a quadratic polynomial:
wherein, the h m At said maximum indentation depth, said h c Is the thickness of the vibration damping coating layer, said 1 、a 2 、a 3 、a 4 、a 5 、a 6 、a 7 、a 8 、a 9 Are coefficients of the fitting function;
determining a fit function between the simulated loading curve index, simulated maximum indentation depth, and the modulus of elasticity:
wherein,
，/>
。
4. the method for identifying the mechanical property of the vibration damping coating according to claim 2, wherein the obtaining the maximum indentation depths corresponding to the elastic moduli through finite element simulation when the elastic moduli are different values comprises:
establishing a finite element model of the composite structure;
and when the elastic modulus is different values, respectively acquiring the maximum indentation depths corresponding to the elastic modulus values by carrying out finite element simulation of a nano indentation test on the finite element model.
5. The method according to claim 1, wherein the step of substituting the test loading curve index of the composite structure obtained by the nano indentation test and the test maximum indentation depth into the functional expression to obtain the mechanical property parameter of the vibration damping coating comprises the following steps:
obtaining an indentation loading curve of the composite structure through at least one nano indentation test to determine the test loading curve index and the test maximum indentation depth;
obtaining the thickness of the coating of the vibration damping coating and the elastic modulus of the inner spherical surface of the outer ring;
substituting the test loading curve index and the test maximum indentation depth into the function expression instead of the simulated loading curve index and the simulated maximum indentation depth;
and acquiring the elastic modulus of the vibration damping coating.
6. The utility model provides a damping coating mechanical properties recognition device which characterized in that, damping coating coats on spherical surface in joint bearing's outer lane, the device includes:
the composite structure attribute acquisition module is connected with the functional relation determination module and is used for acquiring the attribute of a composite structure formed by the vibration damping coating and the outer ring inner spherical surface of the joint bearing;
a function relation determining module connected with the mechanical property identifying module and used for obtaining a simulated loading curve index and a simulated maximum indentation depth for representing the composite structure through finite element simulation so as to construct a function expression of the relation between the mechanical property parameters of the vibration damping coating and the simulated loading curve index and the simulated maximum indentation depth, wherein the function expression is obtained according to a fitting function for representing the relation between the simulated loading curve index, the simulated maximum indentation depth and the elastic modulus, and the fitting function is as follows:
wherein,
，/>
where x is the loading curve index, E S Is the modulus of elasticity of the inner spherical surface of the outer race, E C Is the modulus of elasticity of the vibration damping coating, h m At said maximum indentation depth, said h c Is the thickness of the vibration damping coating layer, said 1 、a 2 、a 3 、a 4 、a 5 、a 6 、a 7 、a 8 、a 9 Are coefficients of the fitting function;
and the mechanical property identification module is used for substituting the test loading curve index of the composite structure obtained through the nano indentation test and the test maximum indentation depth into the function expression to obtain the mechanical property parameters of the vibration damping coating.
7. The damping coating mechanical property identification device according to claim 6, wherein the mechanical property parameters include: the modulus of elasticity of the vibration damping coating; the functional relationship determination module includes:
the fitting function creating unit is connected with the composite structure attribute acquisition module and the maximum indentation depth acquisition unit and is used for creating a fitting function for expressing the relation among the simulated loading curve index, the simulated maximum indentation depth and the elastic modulus;
the maximum indentation depth acquisition unit is connected with the fitting function expression acquisition unit and respectively acquires maximum indentation depths corresponding to the elastic modulus through finite element simulation when the elastic modulus is different values;
and the fitting function expression acquisition unit is used for determining coefficients in the fitting function through more than or equal to two groups of the elastic modulus and the corresponding maximum indentation depth so as to acquire a function expression of the fitting function.
8. The damping coating mechanical property recognition device of claim 7, wherein the fitting function creation unit is configured to:
fitting the simulated loading curve index and the elastic modulus by a quadratic polynomial:
wherein x is a loading curve index, E S Is the modulus of elasticity of the inner spherical surface of the outer race, E C The A, B and C are coefficients of the fitting function, which is the elastic modulus of the damping coating;
fitting the maximum indentation depth to the coefficient by a quadratic polynomial:
wherein, the h m At said maximum indentation depth, said h c For the thickness of the vibration damping coating layer, the 1 、a 2 、a 3 、a 4 、a 5 、a 6 、a 7 、a 8 、a 9 Are coefficients of the fitting function;
determining a fit function between the simulated loading curve index, simulated maximum indentation depth, and the modulus of elasticity:
wherein,
，/>
。
9. the damping coating mechanical property recognition device according to claim 7, wherein the maximum indentation depth acquisition unit is configured to:
establishing a finite element model of the composite structure;
and when the elastic modulus is different values, respectively acquiring the maximum indentation depths corresponding to the elastic modulus values by carrying out finite element simulation of a nano indentation test on the finite element model.
10. The damping coating mechanical property identification device according to claim 6, wherein the mechanical property determination identification module is configured to:
obtaining an indentation loading curve of the composite structure through at least one nano indentation test to determine the test loading curve index and the test maximum indentation depth;
obtaining the thickness of the coating of the vibration damping coating and the elastic modulus of the inner spherical surface of the outer ring;
substituting the test loading curve index and the test maximum indentation depth into the function expression instead of the simulated loading curve index and the simulated maximum indentation depth;
and acquiring the elastic modulus of the vibration damping coating.
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